Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bn |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
6585104824320 = 211 · 3 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4880,-46092] |
[a1,a2,a3,a4,a6] |
j |
29282/15 |
j-invariant |
L |
2.4138591044621 |
L(r)(E,1)/r! |
Ω |
0.60346477611548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bh1 116160fs1 87120bg1 29040bm1 |
Quadratic twists by: -4 8 -3 -11 |